Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups

2023/01/23 by Ernesto García, García, Ernesto, Pablo Lessa +1
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2301.09714

openalex publication_date 2023/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the harmonic measures of certain finite range random walks on Fuchsian Schottky groups, have dimension strictly smaller than the Hausdorff dimension of the corresponding limit set.

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